Answer:
Domain = ( -∞ , ∞ )
Range = ( ∞ , ∞ )
Step-by-step explanation:
A function is given to us and we need to find the domain and range of the given function .
<u>The </u><u>function</u><u> </u><u>:</u><u>-</u><u> </u>
Definitions :-
- <u>Range </u>:- The range is the set of all valid y values .
- <u>Domain</u> :- All real numbers except where the expression is undefined.
In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-
<u>Domain</u><u> </u><u>:</u><u>-</u><u> </u>
or
<u>Range </u><u>:</u><u>-</u><u> </u>
or
#2.
a) 1/4m + 3 = 2
1/4m = -1
m = -4
b) 4y - 3(y + 8) = 12
4y - 3y + 24 = 12
y = -12
For #10, letter b. Do the same thing you did with letter a.
The equation is already given.
You have your y-intercept: -8, and your slope: 3/1.
These two create two different points you can add to your data table.
(0, -8) and (1, 3)
y:-8, 3
x: 0, 1
Answer:
B
Step-by-step explanation:
(a^3/2) / a
= a^(1/2)
= √a
= B
Answer:
a. 
Step-by-step explanation:
The slope-intercept form of equation of a line is given as 
. Where,
m = slope
b = y-intercept.
Rewrite the equations, 
and 
, in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.
Divide both sides by 5
Rewrite
The slope of is ⅖.
(subtraction property of equality)
Divide both sides by 4
The y-intercet of is -6
Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:
Plug in the values of m and b
1:2
Looking at the image, there are 2 grey squares and 1 black square. Since the question is asking how many black squares to grey squares, it would be a 1:2.
